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Explore the Back-StoryTry this problem from IIT JAM 2017 exam. It deals with evaluating Limit of a function.

Let

Write and

Then which one of the following is true?

- exists but does not exist
- does not exist but exists
- Both and exist
- Neither nor exists

**Real Analysis**

**Function**

**Limit**

Answer: exists but does not exists

IIT JAM 2017 , Problem 8

**Given that**,

therefore,

Let,

and ,

Now,

**Theorem : If and . Let . If f is bounded on and , then ** .

Now , is bounded in and , then exists and equal to .

But,

does not exists [Why?]

Then exists but does not.

- https://www.cheenta.com/differential-equation-iit-jam-2014-problem-4/
- https://www.youtube.com/watch?v=9oysvm5JyIU&t=1s

Try this problem from IIT JAM 2017 exam. It deals with evaluating Limit of a function.

Let

Write and

Then which one of the following is true?

- exists but does not exist
- does not exist but exists
- Both and exist
- Neither nor exists

**Real Analysis**

**Function**

**Limit**

Answer: exists but does not exists

IIT JAM 2017 , Problem 8

**Given that**,

therefore,

Let,

and ,

Now,

**Theorem : If and . Let . If f is bounded on and , then ** .

Now , is bounded in and , then exists and equal to .

But,

does not exists [Why?]

Then exists but does not.

- https://www.cheenta.com/differential-equation-iit-jam-2014-problem-4/
- https://www.youtube.com/watch?v=9oysvm5JyIU&t=1s

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